Question

2- If mean of x, x+1, x+2 is 9 then value of x is- ​

Answer 1

Answer:

8

Step-by-step explanation:

Mean = Sum of all observation/total number of observation

9 = (x+x+1+x+2)/3

9×3= 3x+3

27-3=3x

24=3x

x=8

Answer 2

If mean of x , x + 1 , x + 2 is 9 then value of x is 8

Given :

The mean of x , x + 1 , x + 2 is 9

To find :

The value of x

Solution :

Step 1 of 2 :

Form the equation

Here it is given that mean of x , x + 1 , x + 2 is 9

The observations are x , x + 1 , x + 2

Sum of the observations

= x + x + 1 + x + 2

= 3x + 3

Number of observations = 3

By the given condition

$\displaystyle \sf{ \frac{3x + 3}{3} = 9 }$

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{ \frac{3x + 3}{3} = 9 }$

$\displaystyle \sf{ \implies \frac{3(x + 1)}{3} = 9 }$

$\displaystyle \sf{ \implies (x + 1) = 9 }$

$\displaystyle \sf{ \implies x= 9 - 1 }$

$\displaystyle \sf{ \implies x= 8 }$

Hence the required value of x = 8